For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4

Question

Mathematics

Julio Valenzuela

8 March, 17:35

For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4

+4

Answers (1)

Know the Answer?

Phoenix Arellano · Answer 1

x^2 - 8x + 19.

Step-by-step explanation:

We replace the x in f (x) by the expression for g (x):

f (g (x)) = (x - 4) ^2 + 3

= x^2 - 8x + 16 + 3

= x^2 - 8x + 19.

For all values of x,f (x) = x^2 + 3 and g (x) = x-4show that fg (x) = x^2 - 5x + 4

For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4